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For questions on modules over rings.

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Simultaneous decomposition of modules over Dedekind domains

Levy a specific decomposition of modules over Dedekind rings $D$ is used: Let $M$ be submodule of $D^n$, then there exists a simultaneous decomposition $D^n \cong D y_1 \oplus \dots \oplus D y_{r-1} … Furthermore, is it possible to derive it from the "ordinary" decomposition of f.g. modules $N$ over Dedekind domains (which can for instance be found in Narkiewicz book)? …
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